Heisenberg-Pauli-Weyl uncertainty principle for the spherical mean operator. (English) Zbl 1211.42011
Authors’ abstract: The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform associated with the spherical mean operator. Also, a generalization of this inequality is proved. Next, a local uncertainty principle is checked.
Reviewer: Hussain Al-Qassem (Doha)
MSC:
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
Keywords:
Heisenberg-Pauli-Weyl inequality; spherical mean operator; Fourier transform; local uncertainty principleReferences:
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